To calculate power for components C and E in the circuit, the current ix is given as -3A, which affects the voltage across the Current Controlled Voltage Source (CCVS) E. The voltage V(E) is calculated as -6V based on ix, but for conservation of energy, E should be treated as 6V for calculations. Power can be calculated using the formula P=V*I, where the voltage across each element is known. The voltage across the rhombus is determined to be 6V, and it’s important to consider the signs for power calculations to indicate whether a component is a power source or sink. Understanding these relationships allows for accurate power calculations in the circuit.